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252490464 = 25324121383
BaseRepresentation
bin11110000110010…
…11001011100000
3122121002211210200
433003023023200
51004114143324
641015425200
76154063542
oct1703131340
9577084720
10252490464
1111a584906
1270685200
1340405155
1425767692
1517276ec9
hexf0cb2e0

252490464 has 72 divisors (see below), whose sum is σ = 735566832. Its totient is φ = 82106880.

The previous prime is 252490457. The next prime is 252490471. The reversal of 252490464 is 464094252.

252490464 is a `hidden beast` number, since 2 + 524 + 90 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252490457) and next prime (252490471).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (10216206).

Almost surely, 2252490464 is an apocalyptic number.

252490464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367783416).

252490464 is an abundant number, since it is smaller than the sum of its proper divisors (483076368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252490464 is a wasteful number, since it uses less digits than its factorization.

252490464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 252490464 is about 15889.9485209991. The cubic root of 252490464 is about 632.0454755506.

The spelling of 252490464 in words is "two hundred fifty-two million, four hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 21383 42766 64149 85532 128298 171064 192447 256596 342128 384894 513192 684256 769788 876703 1026384 1539576 1753406 2052768 2630109 3079152 3506812 5260218 6158304 7013624 7890327 10520436 14027248 15780654 21040872 28054496 31561308 42081744 63122616 84163488 126245232 252490464